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Finding the Fourth Proportional to 6,761, 10,142.78 and 3,113

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Solution

The fourth proportional to 6,761, 10,142.78 and 3,113 is: 4,670.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761 : 10,142.78 = 3,113 : x
  2. Step 2: Convert to fraction form
    6,761/10,142.78 = 3,113/x
  3. Step 3: Cross multiply
    6,761x = 10,142.78 × 3,113
  4. Step 4: Simplify right side
    6,761x = 31,574,474.14
  5. Step 5: Solve for x
    x = 31,574,474.14/6,761
  6. Step 6: Final answer
    x = 4,670.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.